Results 31 to 40 of about 23,472 (227)
ON THE CAYLEY SEMIGROUP OF A FINITE APERIODIC SEMIGROUP [PDF]
International Journal of Algebra and Computation, 2009 Let S be a finite semigroup. In this paper, we introduce the functions φs:S* → S*, first defined by Rhodes, given by φs([a1,a2,…,an]) = [sa1,sa1a2,…,sa1a2 ⋯ an]. We show that if S is a finite aperiodic semigroup, then the semigroup generated by the functions {φs}s ∈ S is finite and aperiodic.
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Beyond Regular Semigroups [PDF]
, 2012 The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
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Generating the full transformation semigroup using order preserving mappings [PDF]
, 2003 For a linearly ordered set X we consider the relative rank of the semigroup of all order preserving mappings O-X on X modulo the full transformation semigroup Ex. In other words, we ask what is the smallest cardinality of a set A of mappings such that =
Higgins, PM +2 more
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Journal of Algebra, 2014 The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been several attempts to extend the notion of conjugacy to semigroups. In this paper, we present a new definition of conjugacy that can be applied to an arbitrary semigroup and it does not reduce to the universal ...
João Araújo +2 more
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Pi Semigroup Algebras of Linear Semigroups [PDF]
Proceedings of the American Mathematical Society, 1990 It is well-known that if a semigroup algebra K [ S ] K[S]
Jan Okniński, Mohan S. Putcha
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On the Semigroup of Bi-Ideals of an Ordered Semigroup
Kragujevac Journal of Mathematics, 2023 The purpose of this paper is to characterize an ordered semigroup S in terms of the properties of the associated semigroup B(S) of all bi-ideals of S. We show that an ordered semigroup S is a Clifford ordered semigroup if and only if B(S) is a semilattice.
Mallick, Susmita, Hansda, Kalyan
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On the growth of generating sets for direct powers of semigroups [PDF]
, 2011 For a semigroup S its d-sequence is d(S) = (d1, d2, d3, . . .), where di is the smallest number of elements needed to generate the ith direct power of S.
J. T. Hyde +12 more
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On Minimal Fuzzy Ideals of Semigroups
Journal of Mathematics, 2013 The present paper contains the sufficient condition of a fuzzy semigroup to be a fuzzy group using fuzzy points. The existence of a fuzzy kernel in semigroup is explored.
Madad Khan +2 more
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Complex Analysis and Operator Theory, 2011 In this paper we consider a semigroup on trigonometric expansions that will be called the Theta semigroup since its kernel is a multiple of the third Jacobi theta function. We study properties of this semigroup and prove that it is a positive diffusion semigroup. We also obtain that its subordinated semigroup is the classical Poisson semigroup.
Urbina, Wilfredo O., Zayed, Ahmed
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On maximal subgroups of free idempotent generated semigroups [PDF]
, 2011 We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Ruskuc, N. +5 more
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